四元数射影空间中具有常平均曲率的全实子流形  

Totally real submanifolds with constant mean curvature in a quaternion projective space

作　　者：程丽鹃 朱业成 王佳慧 CHENG Lijuan;ZHU Yecheng;WANG Jiahui(School of Mathematics&Physics,Anhui University of Technology,Ma’anshan 243032,Anhui,China;Chern Institute of Mathematics,Nankai University,Tianjin 300071,China)

机构地区：[1]安徽工业大学数理科学与工程学院,安徽马鞍山243032 [2]南开大学陈省身数学研究所,天津300071

出　　处：《华中师范大学学报（自然科学版）》2022年第6期917-921,934,共6页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(12026262).

摘　　要：采用活动标架法,该文研究了四元数射影空间中具有常平均曲率的全实子流形,并且得到了一些pinching定理.这些定理推广和改进了四元数射影空间中全实极小子流形的相关结论.In this paper,totally real submanifolds with constant mean curvature in a quaternion projective space is studied by the method of moving frames and some pinching theorems are obtained.Then the results of totally real minimal submanifolds in a quaternion projective space are extended and improved.

关 键 词：全实子流形 常平均曲率 四元数射影空间 

分 类 号：O186.1[理学—数学]